Abstract
Abstract McClain depicted Plato's city of Magnesia as a circle and found that its structure was based on mathematical ratios which coincide with Just Intonation set of musical intervals (including non-standard intervals 4 7 and 7 8 ). Later McClain noted that the same set of intervals was deduced formally by the author of this paper from his model of human reflexion. In this work the author puts forth the hypothesis that Plato might have known of some formal correlations analogous to those used in this model.
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